how to Apply mathematical induction method to prove

Question : Apply mathematical induction method to prove 1.1!+2.2!+3.3!+….+n.(n+1)!=(n+1)!-1Answer : Proof by mathematical induction method Let the statement as [P_n:\ 1\cdot1!+2\cdot2!+3\cdot3!+…+n\cdot n!] Base Step : n=1 1.1!=2!-1 =>1=2-1 =>1=1 Thus P(1) is true Induction Step : Let the statement is…

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